%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SYN105-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:16:49 AM UTC 2026
% Result : Unsatisfiable 59.63s 18.10s
% Output : Refutation 59.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 9 ~; 6 |; 0 &; 27 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(k1_decl,type,
k1: $i > $o ).
thf(b_decl,type,
b: $i ).
thf(d_decl,type,
d: $i ).
thf(n0_decl,type,
n0: $i > $i > $o ).
thf(326,axiom,
b @ ( d @ n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(988,plain,
b @ ( d @ n0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(318,axiom,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ k1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
thf(974,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ k1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(975,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( B @ n0 ) )
| ( A @ k1 ) ),
inference(cnf,[status(esa)],[974]) ).
thf(4521,plain,
! [B: $i,A: $i] :
( ( ( b @ ( d @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ~ $true
| ( A @ k1 ) ),
inference(paramod_ordered,[status(thm)],[988,975]) ).
thf(4522,plain,
! [B: $i,A: $i] :
( ( ( b @ ( d @ n0 ) )
!= ( A @ ( B @ n0 ) ) )
| ( A @ k1 ) ),
inference(simp,[status(thm)],[4521]) ).
thf(4523,plain,
b @ k1,
inference(pattern_uni,[status(thm)],[4522:[bind(A,$thf( b )),bind(B,$thf( d ))]]) ).
thf(1,negated_conjecture,
~ ( b @ k1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(370,plain,
~ ( b @ k1 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(371,plain,
~ ( b @ k1 ),
inference(polarity_switch,[status(thm)],[370]) ).
thf(4585,plain,
$false,
inference(rewrite,[status(thm)],[4523,371]) ).
thf(4586,plain,
$false,
inference(simp,[status(thm)],[4585]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN105-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.12 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.22/0.50 % Computer : n008.cluster.edu
% 0.22/0.50 % Model : x86_64 x86_64
% 0.22/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.50 % Memory : 8046.5625MB
% 0.22/0.50 % OS : Linux 6.8.0-71-generic
% 0.22/0.50 % CPULimit : 300
% 0.22/0.50 % WCLimit : 300
% 0.22/0.50 % DateTime : Sat Sep 26 17:12:09 UTC 2026
% 0.22/0.50 % CPUTime :
% 0.22/0.50 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.29/1.24 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.51/1.62 % [INFO] Parsing done (374ms).
% 2.51/1.63 % [INFO] Running in sequential loop mode.
% 3.80/2.14 % [INFO] eprover registered as external prover.
% 3.80/2.15 % [INFO] Scanning for conjecture ...
% 4.34/2.37 % [INFO] Found a conjecture (or negated_conjecture) and 368 axioms. Running axiom selection ...
% 5.23/2.61 % [INFO] Axiom selection finished. Selected 368 axioms (removed 0 axioms).
% 6.12/2.92 % [INFO] Problem is propositional (TPTP CNF).
% 6.12/2.94 % [INFO] Type checking passed.
% 6.12/2.94 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 59.63/18.09 % [INFO] Killing All external provers ...
% 59.63/18.10 % Time passed: 17379ms (effective reasoning time: 16455ms)
% 59.63/18.10 % Axioms used in derivation (2): axiom_7, rule_001
% 59.63/18.10 % No. of inferences in proof: 13
% 59.63/18.10 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 17379 ms resp. 16455 ms w/o parsing
% 59.63/18.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 59.63/18.13 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------